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#6526 2016-03-02 15:16:42

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

The solution #5691 is correct. Neat work, bobbym!

#5692. Find the value of x, if the distance between the points (x,-1) and (3,2) is 5.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6527 2016-03-02 17:42:17

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6528 2016-03-02 23:23:42

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

The solution #5692 is correct. Excellent, bobbym!

#5693. Find the indicated terms in each of the following sequences whose 'n'th terms are:

,
.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6529 2016-03-03 14:39:53

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6530 2016-03-03 16:28:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

The solution #5693 (four parts) is perfect. Excellent, bobbym!

#5694.  Find the indicated terms in each of the following sequences whose 'n'th terms are:



It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6531 2016-03-03 18:50:42

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6532 2016-03-03 19:08:51

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

The five solutions in #5694 are all correct. Excellent, bobbym!

#5695. The general term of a sequence is given by

. Is the sequence an Arithmetic Progression? If so, find its 15th term and common difference.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6533 2016-03-05 04:16:15

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6534 2016-03-05 15:01:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

Write the sequence with 'n'th term:

#5696.

#5697.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6535 2016-03-05 17:53:33

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6536 2016-03-05 19:05:17

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

Revised problems.

#5696. A rectangular piece is 20 m long and 15 wide. From its four corners, quadrants of radii 3.5 meter have been cut. Find the area of the remaining part.

#5697. Four square circles, each of radius 5 cm,  touch each other. Find the area included between them.

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6537 2016-03-06 04:21:35

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6538 2016-03-06 17:23:37

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

The solution #5696 is correct. Excellent, bobbym!

#5698. Find the angle subtended at the center of a circle of radius 'a' by an arc of length

centimeter.

#5699. A sector of a circle of radius 4 cm contains an angle of 30 degrees. Find the area of the sector.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6539 2016-03-07 18:08:34

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6540 2016-03-07 18:29:16

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

The solutions #5698 and #5699 are both correct. Brilliant, bobbym!

#5700. What is the probability that an ordinary year has 53 Sundays?

#5701. What is the probability that a leap year has 53 Sundays and 53 Mondays?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6541 2016-03-07 18:55:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6542 2016-03-07 20:13:24

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

The solutions, #5700 and #5701, are correct. Excellent, bobbym!

#5702. One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting:
(i) a king of red suit.
(ii) a face card.
(iii) a red face card.
(iv) a queen of black suit.
(v) a jack of hearts.
(vi) a spade.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6543 2016-03-08 05:05:52

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6544 2016-03-08 17:37:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

The solution #5702 (all six parts) are correct. Magnificent, bobbym!

#5703. A bag contains 4 red, 5 black, and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is:
(i) white
(ii) red
(iii) not black
(iv) red or white.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#6545 2016-03-09 18:43:18

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6546 2016-03-09 22:25:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

The solutions (four parts) in #5703 are correct. Excellent, bobbym!

#5704. A sector of a circle of radius 8 cm contains an angle of 135 degrees. Find the area of the sector.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#6547 2016-03-10 05:05:47

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6548 2016-03-10 18:08:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

The solution #5704 is correct. Excellent, bobbym!

#5705. Solve:



It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#6549 2016-03-11 20:32:55

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6550 2016-03-11 22:33:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,367

Re: 10 second questions

Hi;

The solution set in #5705 is correct. Excellent, bobbym!

#5706. Solve:



It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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